Algebraic Expressions Unit Test

Question

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Question
Expand 7/4(8h+3)
.(1 point)
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Answer 1

To expand the expression \(\frac{7}{4}(8h + 3)\), we distribute \(\frac{7}{4}\) to both terms inside the parentheses.

Here’s how you do it step-by-step:

1. Multiply \(\frac{7}{4}\) by \(8h\): \[ \frac{7}{4} \cdot 8h = \frac{7 \cdot 8h}{4} = \frac{56h}{4} = 14h \]

2. Multiply \(\frac{7}{4}\) by \(3\): \[ \frac{7}{4} \cdot 3 = \frac{7 \cdot 3}{4} = \frac{21}{4} \]

Now, combine the results: \[ \frac{7}{4}(8h + 3) = 14h + \frac{21}{4} \]

Therefore, the expanded expression is: \[ 14h + \frac{21}{4} \]